1999/08/29 by Andrey A. Sukhorukov · 3 citations
Physics and Astronomy · #Advanced Fiber Laser Technologies #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.PS #patt-sol
paper · pdf · doi:10.1103/physreve.61.4530
published as Phys. Rev. E 61, 4530-4539 (2000) · 11 pages, 9 figures; submitted for publication
arxiv created 1999/08/29 · openalex publication_date 2000/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study quadratic solitons supported by two- and three-wave parametric interactions in chi((2)) nonlinear media. Both planar and two-dimensional cases are considered. We obtain very accurate, "almost exact," explicit analytical solutions, matching the actual bright soliton profiles, with the help of a specially developed approach, based on analysis of the scaling properties. Additionally, we use these approximations to describe the linear tails of solitary waves which are related to the properties of the soliton bound states.